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Finding the Third Proportional to 58,783.50 and 89,406

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Solution

The third proportional to 58,783.50 and 89,406 is: 135,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,783.50 : 89,406 = 89,406 : x
  2. Step 2: Convert to fraction form
    58,783.50/89,406 = 89,406/x
  3. Step 3: Cross multiply
    58,783.50x = 89,406 × 89,406
  4. Step 4: Simplify right side
    58,783.50x = 7,993,432,836
  5. Step 5: Solve for x
    x = 7,993,432,836/58,783.50
  6. Step 6: Final answer
    x = 135,980.89

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.